Q 3. If the density function of a solid object that occupies the region B is p(x, y, z), in units of mass per unit volume, at any given point (x, y, z), then the mass of the solid object is //| p(x, y, z)dV. В Determine the mass of the solid with density function p(x, y, z) = zx² + zy², which occupies the region bounded in the first octant by y? + 2² = 9 and the plane y = 3x –- 1. |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q 3. If the density function of a solid object that occupies the region B is
p(x, y, z), in units of mass per unit volume, at any given point (x, y, z), then
the mass of the solid object is
//| p(x, y, z)dV.
B
Determine the mass of the solid with density function p(x, y, z) = zx² + zy²,
which occupies the region bounded in the first octant by y? + 22 = 9 and the
%3D
plane y = 3x – 1.
|
Transcribed Image Text:Q 3. If the density function of a solid object that occupies the region B is p(x, y, z), in units of mass per unit volume, at any given point (x, y, z), then the mass of the solid object is //| p(x, y, z)dV. B Determine the mass of the solid with density function p(x, y, z) = zx² + zy², which occupies the region bounded in the first octant by y? + 22 = 9 and the %3D plane y = 3x – 1. |
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